#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> template void debug(T e) { cerr << e << endl; } template void debug(vector &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(map &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } using mint = modint998244353; void debug_mint1(vector &vec) { for (int i = 0; i < vec.size(); i++) { cerr << vec[i].val() << " "; } cerr << endl; } void debug_mint2(vector> &vec) { for (int i = 0; i < vec.size(); i++) { for (int j = 0; j < vec[i].size(); j++) { cerr << vec[i][j].val() << " "; } cerr << endl; } } void dijkstra(vvpll &graph, ll v, vl &dist) { priority_queue> pque; pque.push(pll(0, v)); dist[v] = 0; while (pque.size()) { pll p = pque.top(); pque.pop(); if (dist[p.second] != p.first) { continue; } for (auto x : graph[p.second]) { if (dist[x.first] > dist[p.second] + x.second) { dist[x.first] = dist[p.second] + x.second; pque.push(pll(dist[x.first], x.first)); } } } } const ll INF = 10000000000000023; int main() { ll N, M, C; cin >> N >> M >> C; vector u(M); vector v(M); vector w(M); for (ll i = 0; i < M; i++){ cin >> u[i] >> v[i] >> w[i]; u[i]--; v[i]--; } vector> g1(N, vector(0)); for (ll i = 0; i < M; i++){ g1[u[i]].push_back(make_pair(v[i], w[i] + C)); g1[v[i]].push_back(make_pair(u[i], w[i] + C)); } vector dist1(N, INF); vector dist2(2 * N, INF); vector> g2(2 * N, vector(0)); for (ll i = 0; i < M; i++){ g2[u[i]].push_back(make_pair(v[i], w[i] + C)); g2[v[i]].push_back(make_pair(u[i], w[i] + C)); g2[u[i] + N].push_back(make_pair(v[i] + N, w[i] + C)); g2[v[i] + N].push_back(make_pair(u[i] + N, w[i] + C)); g2[u[i] + N].push_back(make_pair(v[i], C)); g2[v[i] + N].push_back(make_pair(u[i], C)); } dijkstra(g1, 0, dist1); dijkstra(g2, 2 * N - 1, dist2); for (ll i = 1; i < N; i++){ cout << min(dist1[N - 1], dist1[i] + min(dist2[i], dist2[i + N])) << endl; } }